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Finding the Fourth Proportional to 348,782, 523,177.92 and 99,464

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Solution

The fourth proportional to 348,782, 523,177.92 and 99,464 is: 149,197.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,782 : 523,177.92 = 99,464 : x
  2. Step 2: Convert to fraction form
    348,782/523,177.92 = 99,464/x
  3. Step 3: Cross multiply
    348,782x = 523,177.92 × 99,464
  4. Step 4: Simplify right side
    348,782x = 52,037,368,634.88
  5. Step 5: Solve for x
    x = 52,037,368,634.88/348,782
  6. Step 6: Final answer
    x = 149,197.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.